If , then is, where denotes the greatest integer…

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

f(x)=2[x]+\cos x

, then

f:\mathbb{R}\to\mathbb{R}

is, where

[\cdot]

denotes the greatest integer function: (a) One-one and onto (b) One-one and into (c) Many-one and into (d) Many-one and onto